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340424000 = 265376079
BaseRepresentation
bin10100010010100…
…111010101000000
3212201120022221022
4110102213111000
51144122032000
653440245012
711302361540
oct2422472500
9781508838
10340424000
11165184654
1296010768
13556b2627
14332d7320
151ed46585
hex144a7540

340424000 has 112 divisors (see below), whose sum is σ = 963655680. Its totient is φ = 116697600.

The previous prime is 340423987. The next prime is 340424009. The reversal of 340424000 is 424043.

It is a tau number, because it is divible by the number of its divisors (112).

It is a self number, because there is not a number n which added to its sum of digits gives 340424000.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (340424009) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 52961 + ... + 59039.

Almost surely, 2340424000 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 340424000, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (481827840).

340424000 is an abundant number, since it is smaller than the sum of its proper divisors (623231680).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

340424000 is an equidigital number, since it uses as much as digits as its factorization.

340424000 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 6113 (or 6093 counting only the distinct ones).

The product of its (nonzero) digits is 384, while the sum is 17.

The square root of 340424000 is about 18450.5826466266. The cubic root of 340424000 is about 698.2432137389.

Adding to 340424000 its reverse (424043), we get a palindrome (340848043).

The spelling of 340424000 in words is "three hundred forty million, four hundred twenty-four thousand".

Divisors: 1 2 4 5 7 8 10 14 16 20 25 28 32 35 40 50 56 64 70 80 100 112 125 140 160 175 200 224 250 280 320 350 400 448 500 560 700 800 875 1000 1120 1400 1600 1750 2000 2240 2800 3500 4000 5600 6079 7000 8000 11200 12158 14000 24316 28000 30395 42553 48632 56000 60790 85106 97264 121580 151975 170212 194528 212765 243160 303950 340424 389056 425530 486320 607900 680848 759875 851060 972640 1063825 1215800 1361696 1519750 1702120 1945280 2127650 2431600 2723392 3039500 3404240 4255300 4863200 5319125 6079000 6808480 8510600 9726400 10638250 12158000 13616960 17021200 21276500 24316000 34042400 42553000 48632000 68084800 85106000 170212000 340424000